7(m-8)-3(7m-7)=63

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Solution for 7(m-8)-3(7m-7)=63 equation:


Simplifying
7(m + -8) + -3(7m + -7) = 63

Reorder the terms:
7(-8 + m) + -3(7m + -7) = 63
(-8 * 7 + m * 7) + -3(7m + -7) = 63
(-56 + 7m) + -3(7m + -7) = 63

Reorder the terms:
-56 + 7m + -3(-7 + 7m) = 63
-56 + 7m + (-7 * -3 + 7m * -3) = 63
-56 + 7m + (21 + -21m) = 63

Reorder the terms:
-56 + 21 + 7m + -21m = 63

Combine like terms: -56 + 21 = -35
-35 + 7m + -21m = 63

Combine like terms: 7m + -21m = -14m
-35 + -14m = 63

Solving
-35 + -14m = 63

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '35' to each side of the equation.
-35 + 35 + -14m = 63 + 35

Combine like terms: -35 + 35 = 0
0 + -14m = 63 + 35
-14m = 63 + 35

Combine like terms: 63 + 35 = 98
-14m = 98

Divide each side by '-14'.
m = -7

Simplifying
m = -7

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